Atletico Madrid missed the chance to close the gap on La Liga leaders Barcelona after they were held to a goalless draw at Leganes on Saturday.
Manchester City demonstrated their Premier League title credentials with a dominant 1-0 victory at champions Chelsea.
Paris Saint-Germain hit Bordeaux for six to fire another daunting statement of intent and cement top spot in Ligue 1.
Borussia Dortmund cemented top spot in the Bundesliga with their fourth successive win, seeing off Augsburg 2-1.
Marouane Fellaini's first Manchester United brace helped Jose Mourinho's men to another comprehensive victory, leaving Crystal Palace reeling from a seventh straight Premier League defeat without a goal.
Harry Kane stole the show as Premier League title challengers Tottenham cruised to a 4-0 win over Huddersfield at the John Smith's Stadium.
Substitute Leon Bailey denied Schalke all three points at the Veltins-Arena as Bayer Leverkusen forced a 1-1 Bundesliga draw on Friday.
Radamel Falcao continued his lethal run of form in front of goal but a stoppage-time equaliser kept Monaco to a 1-1 draw at home to Montpellier.
Theo Walcott scored twice and Olivier Giroud notched his 100th Arsenal goal as the Londoners secured a second successive Europa League win, triumphing 4-2 at BATE Borisov.
AC Milan lost a 2-0 lead at the San Siro but found an injury time goal to earn a 3-2 win over Croatian champions Rijeka in the Europa League.
Everton's poor start in the Europa League continued as they were held to a 2-2 draw at Goodison Park by Cypriot outfit Apollon Limassol, who finished the game with 10 men.
Carlo Ancelotti has left his role as coach at Bayern Munich, the club confirmed on Thursday afternoon.
Edinson Cavani was on target again as Paris Saint-Germain served warning of their Champions League threat with a 3-0 pounding of fellow Group B heavyweights Bayern Munich.
Gonzalo Higuain proved his doubters wrong as he came off the bench to set Juventus on their way to a 2-0 win against Olympiakos in Champions League Group D play on Wednesday.
Barcelona edged to a 1-0 win over Sporting Lisbon following an own goal from Sebastian Coates at the Estadio Jose Alvalade to maintain a 100 percent start in Champions League Group D.
Striker Romelu Lukaku continued his remarkable scoring run with two goals as Manchester United swept aside CSKA Moscow 4-1 in Russia.
Basel's Dimitri Oberlin celebrated his 20th birthday in style with two goals and an assist to lead a 5-0 rout of Benfica in the Champions League on Wednesday.
Alvaro Morata and Michy Batshuayi proved there is life after Diego Costa as Chelsea fought back to win 2-1 at Atletico Madrid.
Celtic got their Champions League campaign up and running with an outstanding 3-0 win over Anderlecht in Brussels.
Roma improved their poor away record in the Champions League with a 2-1 victory at Qarabag on Wednesday.
Cristiano Ronaldo scored twice as holders Real Madrid secured a 3-1 win at Borussia Dortmund to maintain their 100 per cent record in Champions League Group H.
Kevin De Bruyne and Raheem Sterling struck as Manchester City moved clear in Champions League Group F with a nervy 2-0 win over Shakhtar Donestsk.
Liverpool's eight-year wait for an away win in the Champions League continued in Russia as Jurgen Klopp's much-vaunted 'Fab Four' failed to strike the right chord in the 1-1 draw with Spartak Moscow.
Monaco were taught a lesson in counterattacking football by Porto in their Champions League match on Tuesday and slumped to a 3-0 home loss after Vincent Aboubakar scored twice.
Napoli bounced back from a poor start to their Champions League campaign with a convincing 3-1 win over Feyenoord on Tuesday.
Wissam Ben Yedder scored a hat trick to lead Sevilla to a comfortable 3-0 win over Maribor in Group E of the Champions League on Tuesday.
Besiktas stayed perfect in Champions League Group G with a 2-0 win over RB Leipzig after first-half goals from Ryan Babel and Talisca on Tuesday.
Harry Kane delivered a Champions League masterclass by hitting a hat-trick and leading Tottenham to a 3-0 demolition of Apoel Nicosia.
Alexandre Lacazette's first double in English football continued Arsenal's excellent home form as they beat West Brom 2-0 at the Emirates Stadium.
Marseille made it back-to-back wins in Ligue 1 with a 2-0 victory against Toulouse at Stade Velodrome.
Cristiano Ronaldo scored from a free kick to help Real Madrid beat Gremio 1-0 and claim the Club World Cup in Saturday's final in Abu Dhabi.
Gareth Bale was the surprise hero as Real Madrid survived a shock against outsiders Al Jazira to win 2-1 in Wednesday's extra dramatic Club World Cup semifinal in Abu Dhabi.
Reigning champions Real Madrid will face Paris Saint-Germain in the Champions League round of 16, while Chelsea take on Barcelona.
Real Madrid star Cristiano Ronaldo won the fifth Ballon d'Or of his career on Thursday, matching Lionel Messi as the most-awarded winner of one of the sport's top individual honours.
A scintillating display of football from Liverpool's Fab Four saw Jurgen Klopp's side blaze their way into the Champions League knockout phase with a 7-0 victory over Spartak Moscow.
Manchester City slumped to their first defeat of the season with a 2-1 loss to Shakhtar Donetsk in their final Champions League Group F game.
Fernando Llorente and Georges-Kevin Nkoudou scored their first goals for Tottenham goal as Spurs strolled into the Champions League round of 16 by beating Apoel Nicosia.
Cristiano Ronaldo became the first player to score in every Champions League group stage match as Real Madrid beat Borussia Dortmund 3-2 at the Bernabeu.
Feyenoord finally secured their first points in Champions League Group F, rallying from a goal down to beat Napoli 2-1 on Wednesday, costing the Serie A side a spot in the round of 16.
Sevilla qualified for the round of 16 of the Champions League with a 1-1 draw at Maribor on Wednesday.
Ten-man Porto advanced out of Group G with a 5-2 defeat of a disappointing Monaco side, who also went down a man at the Estadio do Dragao.
RB Leipzig's Champions League debut ended in a 2-1 home loss to Group G winner Besiktas on Wednesday.
Bayern Munich got a little payback against Paris Saint-Germain with a 3-1 win at the Allianz Arena on Tuesday night in Group B.
Juventus secured their place in the round of 16 of the Champions League with a 2-0 victory against Olympiakos in Greece.
Barcelona completed their Champions League Group D campaign with a 2-0 win over Sporting Lisbon at the Camp Nou.
Manchester United came from behind to beat CSKA Moscow and top their Champions League group as Jose Mourinho's men took their unbeaten home run to a club record-equalling 40th match.
Chelsea missed a chance to finish top of Champions League Group C after a 1-1 draw at home to Atletico Madrid, who will settle for a Europa League spot.
Roma progressed to the Champions League knockout stage as Group C winners after beating Qarabag 1-0 on Tuesday.
Celtic will be playing European football after Christmas despite a 1-0 Champions League defeat by Anderlecht at Parkhead.
Lionel Messi started on the bench as Barcelona secured their passage into the round of 16 of the Champions League with a 0-0 draw at Juventus.
Corentin Tolisso set up one goal and scored another to give Bayern Munich a 2-1 win over Anderlecht on Wednesday in Group B of the Champions League.
Manchester United were denied a place in the Champions League knockout phase as Michael Lang's late strike secured Basel a memorable, and deserved, victory.
Willian scored twice and was fouled for two penalties as Chelsea cruised into the Champions League knockout stages with a 4-0 win over 10-man Qarabag at the Olympic Stadium in Baku.
Antoine Griezmann's stunning goal kept Atletico Madrid's Champions League hopes alive as they grabbed a vital victory over Roma.
Celtic suffered another night of European anguish against Paris St Germain in a 7-1 thrashing in the Parc des Princes.
Raheem Sterling struck a late winner as Manchester City secured top spot in Champions League Group F with a 1-0 win over Feyenoord.
Cristiano Ronaldo set another Champions League record as holders Real Madrid sealed their place in the knockout stages with a comprehensive victory against Apoel Nicosia.
Lorenzo Insigne's magical strike broke Shakhtar Donetsk's defences and Napoli went on to a 3-0 win, which gives them hope of Champions League progress.
Liverpool squandered a three-goal half-time lead to throw away the chance of early Champions League qualification as Sevilla netted a 93rd-minute equaliser in Spain.
Son Heung-Min proved the scourge of Borussia Dortmund again as his late winner ensured Tottenham will go through to the Champions League round of 16 as group winners.